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Finding the Fourth Proportional to 361,710.36, 499,135.96 and 200,559.44

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Solution

The fourth proportional to 361,710.36, 499,135.96 and 200,559.44 is: 276,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,710.36 : 499,135.96 = 200,559.44 : x
  2. Step 2: Convert to fraction form
    361,710.36/499,135.96 = 200,559.44/x
  3. Step 3: Cross multiply
    361,710.36x = 499,135.96 × 200,559.44
  4. Step 4: Simplify right side
    361,710.36x = 100,106,429,367.90
  5. Step 5: Solve for x
    x = 100,106,429,367.90/361,710.36
  6. Step 6: Final answer
    x = 276,758.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.